Through a focus F of ellipse x ^ 2 / 9 + y ^ 2 / 4 = 1 (a > b > 0), make a chord perpendicular to the major axis. What is the chord length?

Through a focus F of ellipse x ^ 2 / 9 + y ^ 2 / 4 = 1 (a > b > 0), make a chord perpendicular to the major axis. What is the chord length?

c=√(9-4)=√5
The linear equation of string is x = ± √ 5, and X is substituted into the elliptic equation
5/9+Y²/4=1
The solution is y = ± 4 / 3
| chord length = 2 * | y | = 8 / 3

What is the length of a chord perpendicular to the major axis through a focus F of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0)?
(1) Let F1 and F2 be the two focal points of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), and ab be the chord passing through F1, then what is the perimeter of △ Abf1?
(2) Taking the two focuses of the ellipse as the diameter, the circle at the end intersects the ellipse at four points. If four points are connected in turn, and the four points and the two focuses form a regular hexagon, what is the eccentricity of the ellipse?
(3) If the equation x & sup2 / 25-m + Y & sup2 / 16 + M = 1 represents an ellipse with focus on the y-axis, what is the range of real number m

If you pass through a focus F of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) and make a chord perpendicular to the major axis, what is the chord length? 2 * (b ^ 2) / A
(1) Perimeter = 4A
(2) Centrifugation 4-2 * radical 3
(3)-9/2

If the focus of the ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 leads to a chord perpendicular to the X axis, then the chord length is?

Let the chord pass through the right focus f (C, 0), then the straight line where the chord lies is x = C. combine the linear equation with the elliptic equation, substitute x = C into x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1, and the solution is y = B ^ 2 / A or - B ^ 2 / A, so the chord length is 2B ^ 2 / A